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Finding the Fourth Proportional to 7,189.51, 9,921.54 and 4,002.78

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Solution

The fourth proportional to 7,189.51, 9,921.54 and 4,002.78 is: 5,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.51 : 9,921.54 = 4,002.78 : x
  2. Step 2: Convert to fraction form
    7,189.51/9,921.54 = 4,002.78/x
  3. Step 3: Cross multiply
    7,189.51x = 9,921.54 × 4,002.78
  4. Step 4: Simplify right side
    7,189.51x = 39,713,741.88
  5. Step 5: Solve for x
    x = 39,713,741.88/7,189.51
  6. Step 6: Final answer
    x = 5,523.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.